311214121412113 has 8 divisors (see below), whose sum is σ = 313690667304960. Its totient is φ = 308739103785840.

The previous prime is 311214121412101. The next prime is 311214121412119.

It is a happy number.

311214121412113 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311214121412113 is a prime.

It is a super-2 number, since 2×311214121412113² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311214121412119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381657745 + ... + 382472302.

It is an arithmetic number, because the mean of its divisors is an integer number (39211333413120).

Almost surely, 2^{311214121412113} is an apocalyptic number.

It is an amenable number.

311214121412113 is a deficient number, since it is larger than the sum of its proper divisors (2476545892847).

311214121412113 is a wasteful number, since it uses less digits than its factorization.

311214121412113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764133287.

The product of its digits is 1152, while the sum is 28.

The spelling of 311214121412113 in words is "three hundred eleven trillion, two hundred fourteen billion, one hundred twenty-one million, four hundred twelve thousand, one hundred thirteen".